The Symplectic Property of Matrizants in Störmer's Problem

Details The Symplectic Property of Matrizants in Störmer's Problem The Symplectic Property of Matrizants in Störmer's Problem

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..37..365m&link_type=abstract

Astrophysics and Space Science, Volume 37, Issue 2, pp.365-369

Astronomy and Astrophysics

Astrophysics

2

Scientific paper

The matrizants of periodic solutions in Störmer's problem, because of their symplectic character, can be transformed by means of multiplication with constant matrices into symmetric ones. As a result the six bilinear relations between their elements, existing on account of the symplectic property, are replaced by 14 linear and simple forms. This fact is very useful in numerical integrations where these relations are used as criteria of accuracy.

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